#### Algebra Model Question Paper

8th Standard EM

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Maths

Time : 02:00:00 Hrs
Total Marks : 60
5 x 1 = 5
1. (a) $\frac { x }{ 2 }$=10     (i) x = 4
(b) 20= 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x =$\frac { 8 }{ 3 }$
(e) $\frac { 4 }{ 11 }$- x = $\frac { -7 }{ 11 }$   (v) x = –24

(a)

(i),(ii), (iv) ,(iii),(v)

(b)

(iii), (iv) , (i) ,(ii), (v)

(c)

(iii),(i) ,(iv), (v), (ii)

(d)

(iii) , (i) , (v) ,(iv) ,(ii)

2. Sum of a number and its half is 30 then the number is______.

(a)

15

(b)

20

(c)

25

(d)

40

3. The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

(a)

62°

(b)

72°

(c)

78°

(d)

68°

4. What sum of money will earn `500 as simple interest in 1 year at 5% per annum?

(a)

50000

(b)

30000

(c)

10000

(d)

5000

5. The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.

(a)

6

(b)

2

(c)

4

(d)

8

6. 7 x 1 = 7
7. The value of x in the equation x + 5 = 12 is --------------------.

()

x = 7

8. The value of m in the equation 8m=56 is--------------------.

()

m = 7

9. The linear equation in one variable has -------------------- solution.

()

One

10. If a and b are positive integers then the solution of the equation ax=b has to be always_______.

()

Positive

11. The coordinates of the point in third quadrant are always__________.

()

negative

12. (0, −5) point lies on ________axis.

()

y-axis

13. _________ coordinates are the same for a line parallel to Y-axis.

()

X-Coordinate

14. 4 x 1 = 4
15. The shifting of a number from one side of an equation to other is called transposition.

(a) True
(b) False
16. “Sum of a number and two times that number is 48” can be written as y+2y=48

(a) True
(b) False
17. (−10,20) lies in the second quadrant

(a) True
(b) False
18. y =−9 x not passes through the origin.

(a) True
(b) False
19. 5 x 1 = 5
20. $\frac { x }{ 2 }$=10

21. (1)

x = –24

22. 20= 6x – 4

23. (2)

x = 4

24. 2x – 5 = 3 – x

25. (3)

x= $\frac { 8 }{ 3 }$

26. 7x – 4 – 8x = 20

27. (4)

x = 20

28. $\frac { 4 }{ 11 }$-x=$\frac { -7 }{ 11 }$

29. (5)

x=1

7 x 2 = 14
30. Find x: (i) –3(4x + 9) = 21 (ii) 20 – 2 ( 5 – p) = 8 (iii) (7x – 5) – 4(2 + 5x) = 10(2 – x)

31. The sum of three consecutive odd numbers is 75. Which is the largest among them?

32. At present, Thenmozhi’s age is 5 years more than that of Murali’s age. Five years ago, the ratio of Thenmozhi’s age to Murali’s age was 3:2. Find their present ages.

33. The denominator of a fraction exceeds its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get $\frac { 3 }{ 2 }$.Find the original fraction.

34. If a train runs at 60 km/hr it reaches its destination late by 15 minutes. But, if it runs at 85 kmph it is late by only 4 minutes. Find the distance to be covered by the train.

35. A line passing through (4, −2) and intersects the Y-axis at (0, 2). Find a point on the line in the second quadrant.

36. Find the point of intersection of the line joining points (−3, 7) (2, −4) and (4,6) (−5,−7). Also find the point of intersection of these lines and also their intersection with the axis.

37. 5 x 3 = 15
38. 7 is added to a given number to give 19.

39. Solve the equation: x − 7 = 6

40. Solve $\frac { 4y }{ 3 } -7=\frac { 2 }{ 5 } y$

41. Relation between Quantity and Cost
The following table gives the quantity of milk and its cost.

 Quantity of milk 5 10 15 20 Cost of milk 150 300 450 600

Plot the graph.

42. Relation between Time and Distance:
A train runs constantly at a speed of 80km/hr. Draw a time – distance graph for this situation. Also find the
(i) time – taken to cover 240 km.
(ii) distance covered in 5 ½ hours.

43. 2 x 5 = 10
44. A bus is carrying 56 passengers with some people having Rs.8 tickets and the remaining having Rs.10 tickets. If the total money received from these passengers is Rs.500, find the number of passengers with each type of tickets.

45. The sum of the digits of a two-digit number is 8. If 18 is added to the value of the number, its digits get reversed. Find the number.